8273640592 has 360 divisors, whose sum is σ = 21715610112. Its totient is φ = 3033676800.

The previous prime is 8273640587. The next prime is 8273640593. The reversal of 8273640592 is 2950463728.

It is a super-2 number, since 2×8273640592² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (46).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8273640593) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 201796092 + ... + 201796132.

Almost surely, 2^8273640592 is an apocalyptic number.

8273640592 is a gapful number since it is divisible by the number (82) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8273640592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10857805056).

8273640592 is an abundant number, since it is smaller than the sum of its proper divisors (13441969520).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

8273640592 is a wasteful number, since it uses less digits than its factorization.

8273640592 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 155 (or 123 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 46.

The square root of 8273640592 is about 90959.5547042750. The cubic root of 8273640592 is about 2022.5482163032.

The spelling of 8273640592 in words is "eight billion, two hundred seventy-three million, six hundred forty thousand, five hundred ninety-two".